What is 270/460 Simplified? (Reduce 270/460 to Lowest Terms: 27/46)

Exact Answer

270/460 = 27/46

Simplified Fraction

27/46

Mixed Number

Proper (27/46)

Decimal Value

0.586957

Percentage

58.6957%

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Step-by-Step Solution: 270/460 = 27/46

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
• Factors of 460: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD(270, 460) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (270) and denominator (460) by 10.

270 ÷ 10/460 ÷ 10 = 27/46

Visual Representation

The diagram below illustrates Simplify 270/460 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`27/46`
Mixed Number Form	`27/46`
Decimal Form	`0.586957`
Percentage	`58.6957%`

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Frequently Asked Questions

What is 270/460 in simplest form?

270/460 simplified to lowest terms is 27/46.

What is the GCD (GCF) of 270 and 460?

The Greatest Common Divisor (GCD) of 270 and 460 is 10.

What are equivalent fractions to 270/460?

Equivalent fractions to 270/460 include 54/92, 81/138, and 108/184.